13670800 has 120 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 4569600.

The previous prime is 13670791. The next prime is 13670801. The reversal of 13670800 is 807631.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13670801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57081 + ... + 57319.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 2^13670800 is an apocalyptic number.

13670800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

13670800 is an abundant number, since it is smaller than the sum of its proper divisors (25076720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13670800 is a wasteful number, since it uses less digits than its factorization.

13670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13670800 is about 3697.4044950478. The cubic root of 13670800 is about 239.1101305554.

The spelling of 13670800 in words is "thirteen million, six hundred seventy thousand, eight hundred".